SOLUTION: A real estate agency wishes to double the size of its ad area in a telephone directory by adding the same amount of length and width of the current ad. The current ad is 4 cm wid

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Question 129014: A real estate agency wishes to double the size of its ad area in a telephone
directory by adding the same amount of length and width of the current ad.
The current ad is 4 cm wide by 6 cm long. What will be the dimensions of the new
ad.

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
AREA=L*W
AREA=4*6=24 CM^2
TO DOUBLE THE SIZE OF THE ADD YOU NEED TO ADD 2X TO EACH DIMENSION.
(4+2X)(6+2X)=2*24
24+20X+4X^2=48
4X^2+20X+24-48=0
4X^2+20X-24=0
4(X^2+5-6)=0
4(X+6)(X-1)=0
X-1=0
X=1 THE ANSWER FOR THE INCREASED WIDTH & LENGTH OF THE AD.
WIDTH=4+(2*1)=4+2=6
LENGTH=6+2*1)=6+2=8
PROOF:
6*8=2*24
48=48

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